DH Hyers, G Isac, T Rassias - 2012 - books.google.com
The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem …
In this paper, we study the stability of functional equations that has its origins with SM Ulam, who posed the fundamental problem 60 years ago and with DH Hyers, who gave the first …
TM Rassias - Journal of Mathematical Analysis and Applications, 2000 - Elsevier
On the Stability of Functional Equations in Banach Spaces Page 1 Ž . Journal of Mathematical Analysis and Applications 251, 264284 2000 doi:10.1006rjmaa.2000.7046, available online …
We show that a very classical result, proved by T. Aoki, Z. Gajda and Th. M. Rassias and concerning the Hyers–Ulam stability of the Cauchy equation f (x+ y)= f (x)+ f (y), can be …
The issue of Ulam's type stability of an equation is understood in the following way: when a mapping which satisfies the equation approximately (in some sense), it is" close" to a …
Ulam stability is motivated by the following issue: how much an approximate solution of an equation differs from the exact solutions to the equation. It is connected to some other areas …
J Brzdęk - Fixed point theory and applications, 2013 - Springer
We show that the fixed point methods allow to investigate Ulam's type stability of additivity quite efficiently and precisely. Using them we generalize, extend and complement some …
A Bahyrycz, J Olko - Aequationes mathematicae, 2015 - Springer
We prove, using the fixed point approach, some stability results for the general linear functional equation. Namely we obtain sufficient conditions for the stability of a wide class of …